Abstract

The work objective. Study of energy conditions for grinding ferromagnetic particles by non-contact method in devices with a rotating electromagnetic field.
 The problem to which the article is devoted. Development of an energy model for controlling the process of grinding ferromagnetic particles of sludge wastes in a rotating electromagnetic field and experimental confirmation of its relevance.
 Research methods. Theoretical studies are based on the main principles of the theory of magnetism, strength and destruction of solids. Experimental studies were carried out at the Research Institute of "Vibrotechnologii" of Don State Technical University using a pilot plant implementing a rotating electromagnetic field.
 The novelty of the work. Establishment of analytical dependences describing the energy aspects of grinding ferromagnetic particles in a non-contact manner in devices with a rotating electromagnetic field.
 The results of the study. A dependence is proposed that makes it possible to estimate the energy state of particles in a magnetic vibrating bed formed in devices under the influence of a rotating electromagnetic field. The energy condition determining the threshold value of the field induction gradient is established, which ensures a stable mode of the magnetic vibrating layer, and, as a consequence, grinding of particles to a given size. An energy model for controlling the grinding process of ferromagnetic particles of sludge wastes in a rotating electromagnetic field is developed and probability-theoretic formulas for estimating the duration of the grinding process is proposed. 
 Conclusions. The use of devices with a rotating electromagnetic field allows to implement effectively one of the important stages of treating metal sludge wastes associated with grinding of its ferromagnetic particles, which ensures the production of ferromagnetic raw materials with high granulometric characteristics. 
 The proposed energy model of particle grinding in a rotating electromagnetic field, based on the balance of the energy of destruction and the energy received by the particle from the electromagnetic field, taking into account the mechanical and magnetic characteristics of the material, makes it possible to implement the process of controlling the granulometric size of ferromagnetic particles of sludge wastes.

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